# Stress Calculator

This continuum mechanics calculator is used to calculate the stress with step by step derivation.

# Stress Calculator

Stress is a physical quantity that expresses the internal forces that neighbouring particles of a continuous material exert on each other, while strain is the measure of the deformation of the material.

## 1/ Formula for Horizontal Beam Shear Stress

This shear stress calculation is used to find the shear stress of a beam caused by the shear force applied the beam horizontally.

T = VQIt

Where,

T - Shear stress in N/m2

V - Total shear force at the point of location in N.m

Q - First moment of area in m3

I - Moment of inertia of entire cross section area in m4

t - Material thickness perpendicular to shear in m

## 2/ Formula for Bending Stress (σ) on Beam

This bending stress calculation is used to find the bending stress on beams supported by the two neutral axis.

σ = M yIx

Where,

σ - bending stress in N/m2

M - Moment of neutral axis in N.m

y - Perpendicular distance to natural axis in m

Ix - Second moment area of natural axis in m4

## 3/ Formula for Critical Buckling Stress of a Column

This critical buckling stress calculation is used to find the maximum allowable stress of the vertical column.

σ = FA = π2 E (Lr)2

Where,

σ - critical or allowable stress of column in Pa

E - young modulus (elasticity) in Pa

L - unsupported length of column in m

r - lease radius of column in m

π - 3.14159

## 4/ Formula for Cylinder Axial Stress

This cylinder axial stress calculation is used to find the longitudinal stress developed along the cylinder or pipe having both ends closed due to the internal pressure.

σL = FA = P d2(d + 2t)2 - d2 = P d4t

Where,

σL - cyclinder axial stress in Pa

P - internal pressure in Pa

d - cyclinder inside diameter in m

t - wall thickness in m

## 5/ Formula for Cylinder Hoop (Circumference) Stress

This cylinder hoop stress calculation is used to find the stress developed circumfrentially subjected to internal pressure of pipe having both closed ends, in both directions on every part of the cylinder wall.

σH = P d2t

Where,

σH - cyclinder hoop stress in Pa

P - internal pressure in Pa

d - cyclinder inside diameter in m

t - wall thickness in m

## 6/ Formula for Helical Linear Spring Shear Stress

This helical linear spring stress calculation is used to find the shear stress of the helical linear spring in mechanical engineering.

T = Ks 8FDπd3

Ks = (2C + 1)2C

C = Dd

Where,

Ks - spring constant

T - shear stress of linear helical spring in pascal

d - wire diameter in m

F - applied force in newton

D - mean spring diameter in m